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Finding the Third Proportional to 11,838.94 and 19,728.94

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Solution

The third proportional to 11,838.94 and 19,728.94 is: 32,877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.94 : 19,728.94 = 19,728.94 : x
  2. Step 2: Convert to fraction form
    11,838.94/19,728.94 = 19,728.94/x
  3. Step 3: Cross multiply
    11,838.94x = 19,728.94 × 19,728.94
  4. Step 4: Simplify right side
    11,838.94x = 389,230,974.88
  5. Step 5: Solve for x
    x = 389,230,974.88/11,838.94
  6. Step 6: Final answer
    x = 32,877.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.